Choose the algebraic description that maps the image ΔABC onto ΔA′B′C′.
Question 2 options:
(x,y) → (x – 4,y)
(x,y) → (x,y + 4)
(x,y) → (x,y – 4)
(x,y) → (x + 4,y)
Answers
Answer:
(x,y+4)
Step-by-step explanation:
This shows a translation of 4 units up, so the y coordinate increases by 4. Please mark brainliest as I need 1 more to move up. It would be much appreciated.
Answer:B
Step-by-step explanation:
Related Questions
A 10-foot tall tree casts a 4-foot shadow. How tall is the building next to the tree if the building’s shadow is 38 feet long?
Answers
Step-by-step explanation:
It Jun glt tm my tb my tu meri of ft me rh my
Find the missing length indicated
Answers
Answer:
x = 240
Step-by-step explanation:
Using the Altitude- on- Hypotenuse theorem
(leg of large triangle)² = ( part of hypotenuse below it) × (whole hypotenuse)
x² = 144 × 400 = 57600 ( take the square root of both sides )
x = [tex]\sqrt{57600}[/tex] = 240
x = 240
Using Pythagoras' theorem on the 3 triangles of sides (as shown in the graphic - the 2 smaller inner triangles and the large main triangle) it can be shown that the height is the square root of the product of both segments of the baseline.
let's call the 2 segments p and q.
p+q = 400
p = 144
q = 400 - 144 = 256
so, as said before, height = sqrt(p×q) = sqrt(144×256) = 192
now the main Pythagoras with the smallest triangle to get x
x² = 192² + 144² = 36864 + 20736 = 57600
x = 240
now, FYI, why is that formula true ?
as we said, we called the segments of the long baseline p and q.
then we can the sides of the main triangle x and y.
and the height is simply h.
so, then we have for the main rectangular triangle
(p+q)² = x² + y²
and for the 2 smaller triangles
x² = p² + h²
y² = q² + h²
=>
p² +2pq + q² = p² + h² + q² + h²
2pq = 2h²
h² = pq
h = sqrt(pq)
and there you have it. just as simple as that.
Find the value of x for which (4/5)-4 x (4/5)-7 =(4/5)2x-1 Can some1 say this ans fast plz
Answers
Answer:
Fraction form: x = -21/4
Decimal Form: x = -5.25
Step-by-step explanation:
See the picture for steps :)
Hello again! This is another Calculus question to be explained.
The prompt reads that "If f(x) is a twice-differentiable function such that f(2) = 2 and [tex]\frac{dy}{dx}[/tex] = [tex]6\sqrt{x^2 + 3y^2}[/tex], then what is the value of [tex]\frac{d^2y}{dx^2}[/tex] at x = 2?"
My initial calculation lead to 12, but then I guessed 219 as the answer and it was correct. Would any kind soul please explain why the answer would be 219? Thank you so much!
Answers
Answer:
See explanation.
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Functions
Function NotationExponential Property [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Exponential Property [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Derivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
We are given the following and are trying to find the second derivative at x = 2:
[tex]\displaystyle f(2) = 2[/tex]
[tex]\displaystyle \frac{dy}{dx} = 6\sqrt{x^2 + 3y^2}[/tex]
We can differentiate the 1st derivative to obtain the 2nd derivative. Let's start by rewriting the 1st derivative:
[tex]\displaystyle \frac{dy}{dx} = 6(x^2 + 3y^2)^\big{\frac{1}{2}}[/tex]
When we differentiate this, we must follow the Chain Rule: [tex]\displaystyle \frac{d^2y}{dx^2} = \frac{d}{dx} \Big[ 6(x^2 + 3y^2)^\big{\frac{1}{2}} \Big] \cdot \frac{d}{dx} \Big[ (x^2 + 3y^2) \Big][/tex]
Use the Basic Power Rule:
[tex]\displaystyle \frac{d^2y}{dx^2} = 3(x^2 + 3y^2)^\big{\frac{-1}{2}} (2x + 6yy')[/tex]
We know that y' is the notation for the 1st derivative. Substitute in the 1st derivative equation:
[tex]\displaystyle \frac{d^2y}{dx^2} = 3(x^2 + 3y^2)^\big{\frac{-1}{2}} \big[ 2x + 6y(6\sqrt{x^2 + 3y^2}) \big][/tex]
Simplifying it, we have:
[tex]\displaystyle \frac{d^2y}{dx^2} = 3(x^2 + 3y^2)^\big{\frac{-1}{2}} \big[ 2x + 36y\sqrt{x^2 + 3y^2} \big][/tex]
We can rewrite the 2nd derivative using exponential rules:
[tex]\displaystyle \frac{d^2y}{dx^2} = \frac{3\big[ 2x + 36y\sqrt{x^2 + 3y^2} \big]}{\sqrt{x^2 + 3y^2}}[/tex]
To evaluate the 2nd derivative at x = 2, simply substitute in x = 2 and the value f(2) = 2 into it:
[tex]\displaystyle \frac{d^2y}{dx^2} \bigg| \limits_{x = 2} = \frac{3\big[ 2(2) + 36(2)\sqrt{2^2 + 3(2)^2} \big]}{\sqrt{2^2 + 3(2)^2}}[/tex]
When we evaluate this using order of operations, we should obtain our answer:
[tex]\displaystyle \frac{d^2y}{dx^2} \bigg| \limits_{x = 2} = 219[/tex]
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
Qualitative manpower is the most valuable assets of an organization
Answers
Answer:
True
Step-by-step explanation:
Office resources can be defined as all those means, facilities or equipments, including manpower that are utilized in the operation of various office procedures on a daily basis. Thus, office resources comprises means of communication, means of transportation, manpower (workers or employees), furniture, computer, etc.
Basically, the proper and efficient utilization of office resources determine the level of success that would be achieved in any office.
In Business management, office resources are generally grouped into five (5) main categories and these include;
I. Communication.
II. Transportation.
III. Material and office supplies.
IV. Sources of income (finance).
V. Manpower (human resources).
Manpower is also referred to as human resources or office personnels and it can be defined as the total number of people working from the lower hierarchy to top hierarchy of an organization, engaged in various jobs or tasks at different levels.
Basically, manpower is considered to be the most important type of office resources because it is vital for achieving the organizational goal.
This ultimately implies that, the most valuable assets of an organization is its qualitative manpower because it comprises human competence, skills and knowledge.
Which exponential function has an x-intercept?
Answers
Answer:
y = a^x is an exponential function with an x intercept.
Step-by-step explanation:
y = a^x is the standard form of an exponential function.
Also the same as the other problem
Answers
Answer:
30-60-90
Step-by-step explanation:
A 30-60-90 triangle is a right angled triangle
Please mark it as brainliest if it helped
Answered by Gauthmath
Answer:
A (30 - 60 - 90) right triangle has the side ratios: [tex]x, x\sqrt{3}, 2x[/tex].
Step-by-step explanation:
A right triangle with the angle measures (30 - 60 - 90) is often referred to as a special right triangle becaase its sides follow the following ratio,
The side; Angle it's opposite to;
[tex]x[/tex] 30
[tex]x\sqrt{3}[/tex] 60
[tex]2x[/tex] 90
The sum of two numbers is 50. If the larger number is divided by the
smaller number we get 7/11. Find the numbers.
Answers
Answer:
y = 30.555 and x = 19.444
Step-by-step explanation:
We are given:
x + y = 50 and
x / y = 7/11
use substitution taking
x + y = 50
x = 50 - y
then
x / y = 7/11 and from above substitute for x
(50 - y)/ y = 7/11
(50 - y) = 7y/11
11(50 - y) = 7y
550 - 11y = 7y
550 = 18y
y = 550/18 = 30.555 so
x + y = 50
x = 50 - y
x = 50 - 30.555 = 19.444
Find the missing segment
Answers
Step by step explanation: 14/x=7/2 which gets you 7x/28, you divide both sides by 7 to get that x=4
50 points and brainly
Trinas you company charges $0.86 per pound to ship toys. Part A: Write an equation to determine the totals cost, c, to ship p pounds of toys. Use your equation to determine the cost of shipping 2 pounds of toys. Path B: if the company reduces the cost to ship toys by $0.05 per pound, write an equation to determine the total cost, c, to ship p pounds of toys with the reduced cost.
Answers
Answer:
Part A:
c = .86*p
c =1.72 for 2 lbs
Part B:
c =.81p
Step-by-step explanation:
Part A:
Total cost = cost per pound * number of pounds
c = .86*p
Let p = 2
c = .86*2
c =1.72
Part B:
Total cost = cost per pound * number of pounds
c = .(.86-.05)*p
c =.81p
Determine what type of model best fits the given situation: the temperature of a cup of coffee decreases by 5 F every 20 minutes.
A. liner
B. exponential
C. quadratic
D. none of these
Answers
Answer: T = -t / 4 + T0 where t is the temperature in minutes elapsed, T is the final temperature, and T0 is the initial temperature
Explanation: This is a linear equation in T and t
(-1 / 4 represents -5 deg / 20 min = - 1 deg / 4min
The diagram shows three points P, Q and R on horizontal ground.
PQ = 50 m, PR = 100 m and angie PQR = 140°.
Calculate angle PRO.
Answers
Answer:
m<PQR = 18.7°
Step-by-step explanation:
Apply the Law of Sines,
[tex] \frac{Sin A}{a} = \frac{Sin B}{b} [/tex]
Where,
Sin A = Sin 140
a = 100 m
Sin B = Sin R (<PRQ)
b = 50 m
Substitute
[tex] \frac{Sin 140}{100} = \frac{Sin R}{50} [/tex]
Cross multiply
[tex] 100*Sin(R) = 50*Sin(140) [/tex]
Divide both sides by 100
[tex] Sin(R) = \frac{50*Sin(140)}{100} [/tex]
[tex] Sin(R) = 0.32139 [/tex]
[tex] R = Sin^{-1}(0.32139) [/tex]
R ≈ 18.7° (nearest tenth)
m<PQR = 18.7°
The angle PRO is 1.7 degrees.
Given that,
The diagram shows three points P, Q, and R on horizontal ground.
PQ = 50 m, PR = 100 m and angle PQR = 140°.
We have to determine,
The angle PRO.
According to the question,
The value of angle PRO is determined by using the sin rule-following all the steps given below.
[tex]\rm \dfrac{sina}{a} = \dfrac{sinb}{b}[/tex]
Where, Sin A = Sin 140 , a = 100 m , Sin B = Sin R (<PRQ) , b = 50 m
Substitute all the values in the formula,
[tex]\rm \dfrac{sin140}{100} = \dfrac{sinR}{50}\\\\ \dfrac{0.64}{100} = \dfrac{sinR}{50}\\\\0.0064 = \dfrac{sinR}{50}\\\\0.0064 \times 50 = sinR\\\\0.321 = sinR\\\\R = sin{-1}(0.321)\\\\R = 18.7 \ degree[/tex]
Hence, The angle PRO is 1.7 degrees.
For more details refer to the link given below.
https://brainly.com/question/12895249
Find the number in which 8 is in tenths place.
8945.4534
456.89732
9738.45621
6875.1234
Answers
the number in which 8 is in tenth place is
6875.1234
plese mark me as braniliest
Is the rate of change of the function 5? help pls :')
Answers
Answer: B
No, because y does not change by 5 every time x changes by 1
Step-by-step explanation:
rate of change is basically slope
if the rate of change of the function of 5, then the slope will be 5/1
The x changes by 1 every time y changes by 4
so the slope of the function is 4
Find the domain of h(x) = 2x - 9 given a range of (-7,5,11)
Answers
Answer:
D = 1,7,10
Step-by-step explanation:
-7 = 2x - 9
x = 1
5 = 2x - 9
x = 7
11 = 2x - 9
x = 10
the domain of (1,7,10)
if a = 3 and b=2,find the value of a square+2ab and (a+b)square
Answers
Answer:
a^2+2ab = 21
(a+b)^2= 25
Step-by-step explanation:
(a+b)^2 = a^+2ab+b^2
sub a=3 and b=2 and simplify
4.
A line contains the points R (-5, -6) S (1, 5) and T (x, 10). Solve for x. Be sure to show and explain all work
Answers
Answer:
x is 3.[tex]\overline{72}[/tex]
Step-by-step explanation:
The given points on the line are;
R(-5, -6), S(1, 5) and T(x, 10)
The number of points required to find the equation of the line = 2 points
The slope, m, of the line using points R(-5, -6) and S(1, 5) is given as follows;
m = (5 - (-6))/(1 - (-5)) = 11/6
The equation of the line in slope and point form, using point S(1, 5) is therefore;
y - 5 = (11/6)·(x - 1) = 11·x/6 - 11/6
y - 5 = 11·x/6 - 11/6, given that the x-value is required, we have;
x = (y - 5 + 11/6) × 6/11 = 6·y/11 - 19/11
x = 6·y/11 - 19/11
At point T(x, 10), y = 10, therefore, we have;
x = 6×10/11 - 19/11 = 41/11 = 3.[tex]\overline{72}[/tex]
x = 3.[tex]\overline{72}[/tex].
The domain for f(x) and g(x) is the set of all real numbers.
Let f(x) = 3x + 5 and g(x) = x2.
Find (f − g)(x).
3x3 − 5x2
−x2 + 3x + 5
x2 − 3x − 5
−3x3 − 5x2
Answers
Answer:
below
Step-by-step explanation:
that's is the solution above
(0.053) (0.578)
Multiply the numbers
Answers
Answer:
If you multiply the numbers you will get
0.030634
I NEED HELP JANSJEHEHSHSBSBSBSH
Answers
Answer:
The answer is a translation
Step-by-step explanation:
In Math, translation is the displacement of a shape or object from one place to another.
Since the picture shows that the shape moved from one place to the next while remaining the same size, it is translation.
The radius of a circle is 14cm. Find the radius of the circle whose area is double of the area of circle.
Answers
Answer:
14√2 cmStep-by-step explanation:
Area of circle equation:
A = πr²Let the radius of bigger circle is x.
We have:
π(14²)*2 = πx²Solve for x:
x² = 2(14²)x = √2(14²)x = 14√2 cm19.8cm
Step-by-step explanation:
First find area of small circle:
A = πr2
A = 22/7 x 14 x 14
A = 22 x 2 x 14
A = 616cm2
Area of bigger circle is double that of the small circle:
= 616 x 2
= 1,232 cm2
πR2 = A
22/7 x r2 = 1,232
r2 = (1,232 x 7) ÷ 22
r2 = 8624 ÷ 22
[tex] \sqrt{r ^{2} } = \sqrt{392} [/tex]
radius of bigger circle = 19.8cm
One of the lengths of a leg on a right angled triangle is 15 ft the length of the hypotenuse is 17 ft find the length of the other leg
Answers
NOW ASAP NEED FAST ANSWERRRRRRRRRRRRRRRRRRR
Answers
Answer:
C.
Step-by-step explanation:
Dis means apart and junc means join so disjunction means the "state of being disconnected".
75% students out of 80 are present in a test , the students absent are :
Answers
Answer:
20 students are absent
Step-by-step explanation:
75/100 × 80 = 60
If 60 were present out of the 80
80 - 60 = 20
Have a great day :)
Someone help me out please
Answers
Answer:
142.5
Step-by-step explanation:
π×11²×135/360
= 363π/8
= 142.5 (rounded to the nearest tenth)
Answered by GAUTHMATH
Name the property shown by the statement 2a = a2
Answers
Distributive property
screenshot if you need more words. seems to be a well illustrated and compact explanation right there
Help pls will give brainliest
Answers
Answer:
b
Step-by-step explanation:
area of triangle = 1/2 x c x d =cd/2
area of semicircle = 1/2 x π x r^2 = 1/2 x π x (a/2)^2 = 1/2 x π x a^2/4 =πa^2/8
area of shape = area of triangle + area of semicircle
Answer problem below
Answers
9514 1404 393
Answer:
17.078 square units
Step-by-step explanation:
The area of a segment is given by the formula ...
A = 1/2r²(θ -sin(θ)) . . . . where θ is in radians
The angle θ is 48°, or π(48°/180°) radians = 4π/15 radians.
Then the segment area is ...
A = (1/2)(19²)(4π/15 -sin(48°)) = 17.078 . . . square units
Rewrite the expression in the form z^n.
z^3/4 x z^2
Answers
Step-by-step explanation:
here's the answer to your question
1 point
Andrea and Barry are sharing a bag of popcorn at the movies. By himself,
Barry can eat the whole bag of popcorn in 30 minutes. Andrea takes 20
minutes to eat the whole bag. If they both eat popcorn at their usual rates,
approximately how long will it take them to finish the bag of popcorn?
Answers
Answer:
12 minutes
Step-by-step explanation:
We can use the formula
1/a+ 1/b = 1/c where a and b are the times alone and c is the time together
1/20 + 1/30 = 1/c
Multiply by the common denominator to clear the fractions
60c(1/20 + 1/30 = 1/c)
3c +2c = 60)
5c = 60
Divide by 5
5c/5 = 60/5
c = 12
12 minutes
Answer: 12 minutes
Step-by-step explanation: To solve this kind of a problem, which is called a work problem, it's important to understand the following idea:
Since Barry can eat a bag of popcorn in 30 minutes, we know that in 1 minute, Barry can eat 1/30 of the bag of popcorn and in 2 minutes, Barry can eat 2/30 of the bag of popcorn. Therefore, in t minutes, Barry can eat t/30 of the bag of popcorn. The same thing applies for Andrea. In t minutes, Andrea can eat t/20 of the bag of popcorn.
Now to solve the problem, we use the following formula:
Part of Job done by Barry + Part of Job done by Andrea = 1 job done
The part of job done by Barry is t/30 and the part
of the job done by Andrea is t/20.
So we have t/30 + t/20 = 1.
To solve for t, multiply both sides by the common denominator of 60.
So we get 2t + 3t = 60 or 5t = 60 so t = 12.
So Barry and Andrea can eat 1 bag together in 12 minutes.
